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Finding the Third Proportional to 747,427,797 and 1,635,615,490.50

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Solution

The third proportional to 747,427,797 and 1,635,615,490.50 is: 3,579,259,486.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,427,797 : 1,635,615,490.50 = 1,635,615,490.50 : x
  2. Step 2: Convert to fraction form
    747,427,797/1,635,615,490.50 = 1,635,615,490.50/x
  3. Step 3: Cross multiply
    747,427,797x = 1,635,615,490.50 × 1,635,615,490.50
  4. Step 4: Simplify right side
    747,427,797x = 2,675,238,032,763,555,840
  5. Step 5: Solve for x
    x = 2,675,238,032,763,555,840/747,427,797
  6. Step 6: Final answer
    x = 3,579,259,486.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.